Match the example to the type of equipment category it fits best in. a gym bag, workout clothes, hygiene essentials, proper shoes, water, ipod. b hockey stick baseball glove. basketball. pads. helmet. goal c bench press, free weights, treadmiu, stationary bike 1. fitness equipment 2. specialized equipment. 3. personal kit

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)